This math topic focuses on understanding the concept of function inverses, specifically exploring whether given pairs of functions are inverse functions of each other through composition. The problems test if applying one function to another returns the original input, a foundational aspect of function inverses in the broader study of functions, composition, and inversion. Each question involves evaluating expressions to ascertain the inverse relationship, offering answers "Yes" or "No" to whether one function is the inverse of another.

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Function Inverse - Function of Function to Is Inverse Worksheet

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Function Inverse - Function of Function to Is Inverse
1
A LaTex expression showing d(n(x)) = x
Is d(x) the inverse of n(x)?
a
Yes
b
No
2
A LaTex expression showing b(d(x)) = x
Is b(x) the inverse of d(x)?
a
Yes
b
No
3
A LaTex expression showing d(b(x)) = x to the power of 2
Is d(x) the inverse of b(x)?
a
No
b
Yes
4
A LaTex expression showing z(d(x)) = x to the power of 2
Is z(x) the inverse of d(x)?
a
No
b
Yes
5
A LaTex expression showing y(m(x)) = 1 over x
Is y(x) the inverse of m(x)?
a
No
b
Yes
6
A LaTex expression showing p(z(x)) = x
Is p(x) the inverse of z(x)?
a
Yes
b
No
7
A LaTex expression showing r(m(x)) = x
Is r(x) the inverse of m(x)?
a
Yes
b
No
8
A LaTex expression showing m(r(x)) = x
Is m(x) the inverse of r(x)?
a
Yes
b
No